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Finding the Fourth Proportional to 2,962.68, 4,444.98 and 1,014.90

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Solution

The fourth proportional to 2,962.68, 4,444.98 and 1,014.90 is: 1,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.68 : 4,444.98 = 1,014.90 : x
  2. Step 2: Convert to fraction form
    2,962.68/4,444.98 = 1,014.90/x
  3. Step 3: Cross multiply
    2,962.68x = 4,444.98 × 1,014.90
  4. Step 4: Simplify right side
    2,962.68x = 4,511,210.20
  5. Step 5: Solve for x
    x = 4,511,210.20/2,962.68
  6. Step 6: Final answer
    x = 1,522.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.